Finite Temperature Density Instability at High Landau Level Occupancy

TL;DR

This paper investigates charge density wave instabilities in high Landau level quantum Hall systems at finite temperature, focusing on disorder effects and stripe orientation transitions influenced by in-plane magnetic fields.

Contribution

It provides new insights into how disorder suppresses charge density wave melting and identifies a transition in stripe orientation related to electron gas thickness.

Findings

Disorder suppresses the charge density wave melting temperature to zero beyond a critical point.

A transition from perpendicular to parallel stripe orientation occurs when electron gas thickness exceeds ~60 Å.

Perpendicular stripe alignment aligns with experimental conduction observations.

Abstract

We study here the onset of charge density wave instabilities in quantum Hall systems at finite temperature for Landau level filling $\nu>4$. Specific emphasis is placed on the role of disorder as well as an in-plane magnetic field. Beyond some critical value, disorder is observed to suppress the charge density wave melting temperature to zero. In addition, we find that a transition from perpendicular to parallel stripes (relative to the in-plane magnetic field) exists when the electron gas thickness exceeds $\approx 60$\AA. The perpendicular alignment of the stripes is in agreement with the experimental finding that the easy conduction direction is perpendicular to the in-plane field.